comparison toolboxes/FullBNT-1.0.7/bnt/general/convert_dbn_CPDs_to_tables1.m @ 0:e9a9cd732c1e tip

first hg version after svn
author wolffd
date Tue, 10 Feb 2015 15:05:51 +0000
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children
comparison
equal deleted inserted replaced
-1:000000000000 0:e9a9cd732c1e
1 function CPDpot = convert_dbn_CPDs_to_tables1(bnet, evidence)
2 % CONVERT_DBN_CPDS_TO_TABLES Convert CPDs of (possibly instantiated) DBN nodes to tables
3 % CPDpot = convert_dbn_CPDs_to_tables(bnet, evidence)
4 %
5 % CPDpot{n,t} is a table containing P(n,t|pa(n,t), ev)
6 % All hidden nodes are assumed to be discrete
7 % We assume the observed nodes are the same in every slice
8 %
9 % Evaluating the conditional likelihood of the evidence can be very slow,
10 % so we take pains to vectorize where possible, i.e., we try to avoid
11 % calling convert_to_table
12
13 [ss T] = size(evidence);
14 %obs_bitv = ~isemptycell(evidence(:));
15 obs_bitv = zeros(1, 2*ss);
16 obs_bitv(bnet.observed) = 1;
17 obs_bitv(bnet.observed+ss) = 1;
18
19 ns = bnet.node_sizes(:);
20 CPDpot = cell(ss,T);
21
22 for n=1:ss
23 % slice 1
24 t = 1;
25 ps = parents(bnet.dag, n);
26 e = bnet.equiv_class(n, 1);
27 if ~any(obs_bitv(ps))
28 CPDpot{n,t} = convert_CPD_to_table_hidden_ps(bnet.CPD{e}, evidence{n,t});
29 else
30 CPDpot{n,t} = convert_to_table(bnet.CPD{e}, [ps n], evidence(:,1));
31 end
32
33 % slices 2..T
34 debug = 1;
35 if ~obs_bitv(n)
36 CPDpot = helper_hidden_child(bnet, evidence, n, CPDpot, obs_bitv, debug);
37 else
38 CPDpot = helper_obs_child(bnet, evidence, n, CPDpot, obs_bitv, debug);
39 end
40 end
41
42 if 0
43 CPDpot2 = convert_dbn_CPDs_to_tables_slow(bnet, evidence);
44 for t=1:T
45 for n=1:ss
46 if ~approxeq(CPDpot{n,t}, CPDpot2{n,t})
47 fprintf('CPDpot n=%d, t=%d\n',n,t);
48 keyboard
49 end
50 end
51 end
52 end
53
54
55 % special cases: c=child, p=parents, d=discrete, h=hidden, 1=1slice
56 % if c=h=1 then c=d=1, since hidden nodes must be discrete
57 % c=h c=d p=h p=d p=1 method
58 % ---------------------------
59 % 1 1 1 1 - replicate CPT
60 % 0 1 1 1 1 dhmm
61 % 0 0 1 1 1 ghmm
62 % - 1 - 1 - evaluate CPT on evidence
63 % other loop
64
65 %%%%%%%
66 function CPDpot = helper_hidden_child(bnet, evidence, n, CPDpot, obs_bitv, debug)
67
68 [ss T] = size(evidence);
69 self = n+ss;
70 ps = parents(bnet.dag, self);
71 e = bnet.equiv_class(n, 2);
72 ns = bnet.node_sizes(:);
73 if ~any(obs_bitv(ps)) % all parents are hidden (hence discrete)
74 if debug, fprintf('node %d is hidden, all ps are hidden\n', n); end
75 if myismember(n, bnet.dnodes)
76 %CPT = CPD_to_CPT(bnet.CPD{e});
77 %CPT = reshape(CPT, [prod(ns(ps)) ns(self)]);
78 CPT = convert_CPD_to_table_hidden_ps(bnet.CPD{e}, []);
79 CPDpot(n,2:T) = num2cell(repmat(CPT, [1 1 T-1]), [1 2]);
80 else
81 error(['hidden cts node disallowed'])
82 end
83 else % some parents are observed - slow
84 if mysubset(ps, bnet.dnodes) % all parents are discrete
85 % given CPT(p1, p2, p3, p4, c), where p1,p3 are observed
86 % we create CPT([p2 p4 c], [p1 p3]).
87 % We then convert all observed p1,p3 into indices ndx
88 % and return CPT(:, ndx)
89 CPT = CPD_to_CPT(bnet.CPD{e});
90 domain = [ps self];
91 % if dom is [3 7 8] and 3,8 are observed, odom_rel = [1 3], hdom_rel = 2,
92 % odom = [3 8], hdom = 7
93 odom_rel = find(obs_bitv(domain));
94 hdom_rel = find(~obs_bitv(domain));
95 odom = domain(odom_rel);
96 hdom = domain(hdom_rel);
97 CPT = permute(CPT, [hdom_rel odom_rel]);
98 CPT = reshape(CPT, prod(ns(hdom)), prod(ns(odom)));
99 parents_in_same_slice = all(ps > ss);
100 if parents_in_same_slice
101 if debug, fprintf('node %d is hidden, some ps are obs, all ps discrete, 1 slice\n', n); end
102 data = cell2num(evidence(odom-ss,2:T)); %data(i,t) = val of i'th obs parent at t+1
103 else
104 if debug, fprintf('node %d is hidden, some ps are obs, all ps discrete, 2 slice\n', n); end
105 data = zeros(length(odom), T-1);
106 for t=2:T
107 ev = evidence(:,t-1:t);
108 data(:,t-1) = cell2num(ev(odom));
109 end
110 end
111 ndx = subv2ind(ns(odom), data'); % ndx(t) encodes data(:,t)
112 CPDpot(n,2:T) = num2cell(CPT(:, ndx), [1 2]);
113 else % some parents are cts - v slow
114 if debug, fprintf('node %d is hidden, some ps are obs, some ps cts\n', n); end
115 for t=2:T
116 CPDpot{n,t} = convert_to_table(bnet.CPD{e}, [ps self], evidence(:,t-1:t));
117 end
118 end
119 end
120
121 %%%%%%%
122 function CPDpot = helper_obs_child(bnet, evidence, n, CPDpot, obs_bitv, debug)
123
124 [ss T] = size(evidence);
125 self = n+ss;
126 ps = parents(bnet.dag, self);
127 e = bnet.equiv_class(n, 2);
128 ns = bnet.node_sizes(:);
129 if ~any(obs_bitv(ps)) % all parents are hidden
130 parents_in_same_slice = all(ps > ss);
131 if parents_in_same_slice
132 if debug, fprintf('node %d is obs, all ps are hidden, 1 slice\n', n); end
133 ps1 = ps - ss;
134 if myismember(n, bnet.dnodes)
135 CPT = CPD_to_CPT(bnet.CPD{e});
136 CPT = reshape(CPT, [prod(ns(ps)) ns(self)]); % what if no parents?
137 obslik = eval_pdf_cond_multinomial(cell2num(evidence(n,2:T)), CPT);
138 CPDpot(n,2:T) = num2cell(obslik, 1);
139 else
140 S = struct(bnet.CPD{e});
141 obslik = eval_pdf_cond_gauss(cell2num(evidence(n,2:T)), S.mean, S.cov);
142 CPDpot(n,2:T) = num2cell(obslik, 1);
143 end
144 else % parents span 2 slices - slow
145 if debug, fprintf('node %d is obs, all ps are hidden , 2 slice\n', n); end
146 for t=2:T
147 CPDpot{n,t} = convert_to_table(bnet.CPD{e}, [ps self], evidence(:,t-1:t));
148 end
149 end
150 else
151 if isempty(ps) % observed root
152 if debug, fprintf('node %d is obs, no ps\n', n); end
153 CPT = CPD_to_CPT(bnet.CPD{e});
154 data = cell2num(evidence(n,2:T));
155 CPDpot(n,2:T) = CPT(data);
156 else % some parents are observed - slow
157 if debug, fprintf('node %d is obs, some ps are obs\n', n); end
158 for t=2:T
159 CPDpot{n,t} = convert_to_table(bnet.CPD{e}, [ps self], evidence(:,t-1:t));
160 end
161 end
162 end